An Identity on SU(2) Invariants
arXiv:0711.4340 · doi:10.1088/1751-8113/41/1/015206
Abstract
We prove an identity [Eq. (1) below] among SU(2) 6j and 9j symbols that generalizes the Biedenharn-Elliott sum rule. We prove the result using diagrammatic techniques (briefly reviewed here), and then provide an algebraic proof. This identity is useful for studying meson-baryon scattering in which an extra isoscalar meson is produced.
12 pages, REVTeX, 9 .eps figures, version accepted by J. Phys. A